Natural superconvergence points in three-dimensional finite elements
SIAM Journal on Numerical Analysis
A systematic and analytic process is conducted to identify natural superconvergence points of high degree polynomial C0 finite elements in a three-dimensional setting. This identification is based upon explicitly constructing an orthogonal decomposition of local finite element spaces. Derivative and function value superconvergence points are investigated for both the Poisson and the Laplace equations. Superconvergence results are reported for hexahedral, pentahedral, and tetrahedral elements up to certain degrees. © 2008 Society for Industrial and Applied Mathematics.
Lin, Runchang and Zhang, Zhimin, "Natural superconvergence points in three-dimensional finite elements" (2008). Mathematics & Physics Faculty Publications. 30.